Hostname: page-component-cd9895bd7-lnqnp Total loading time: 0 Render date: 2024-12-25T13:12:22.060Z Has data issue: false hasContentIssue false

Capillary–gravity waves against a vertical cliff

Published online by Cambridge University Press:  24 October 2008

B. A. Packham
Affiliation:
University of Surrey

Extract

In considering the problem of waves on a sloping beach, little regard seems to have been given to the effect of surface tension. Wehausen and Laitone (7) tend to attribute this to the fact that the additional force is small. This does not, of course, preclude the possibility that the effect may be appreciable in certain regions, and Longuet-Higgins (3), for example, has shown this to be the case near the crests for waves on the point of breaking. They also add, which is probably rather more pertinent, that difficulties arise when a solid boundary pierces the surface, since an additional boundary condition is required at the intersection, but give no indication as to what the boundary condition should be.

Type
Research Article
Copyright
Copyright © Cambridge Philosophical Society 1968

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

REFERENCES

(1)John, F.Comm. Pure Appl. Math. 1 (1948), 149200.CrossRefGoogle Scholar
(2)Lewy, H.Bull. Amer. Math. Soc. 52 (1946), 737775.CrossRefGoogle Scholar
(3)Longuet-Higgins, M. S.J. Fluid Mech. 16 (1963), 138159.CrossRefGoogle Scholar
(4)Peters, A. S.Comm. Pure Appl. Math. 5 (1952), 87108.CrossRefGoogle Scholar
(5)Roseau, M.C.R. Acad. Sci., Paris 232 (1951), 479480.Google Scholar
(6)Stoker, J. J.Quart. J. Appl. Math. 5 (1947), 154.CrossRefGoogle Scholar
(7)Wehausen, J. V. and Laitone, E. V. Surface waves. Handbuch der Physik 9 (1960).Google Scholar
(8)Williams, W. E.Proc. Cambridge Philos. Soc. 61 (1965), 275278.CrossRefGoogle Scholar